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Finding the Fourth Proportional to 84,731.50, 127,097.25 and 29,327.50

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Solution

The fourth proportional to 84,731.50, 127,097.25 and 29,327.50 is: 43,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731.50 : 127,097.25 = 29,327.50 : x
  2. Step 2: Convert to fraction form
    84,731.50/127,097.25 = 29,327.50/x
  3. Step 3: Cross multiply
    84,731.50x = 127,097.25 × 29,327.50
  4. Step 4: Simplify right side
    84,731.50x = 3,727,444,599.38
  5. Step 5: Solve for x
    x = 3,727,444,599.38/84,731.50
  6. Step 6: Final answer
    x = 43,991.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.